Subfactors and Knots: Regional Conference - Brossura

Jones, Vaughan F. R.

Brossura

ISBN 10: 0821807293 ISBN 13: 9780821807293

Casa editrice: Amer Mathematical Society, 1991

Riassunto

This book is based on a set of lectures presented by the author at the NSF-CBMS Regional Conference, Applications of Operator Algebras to Knot Theory and Mathematical Physics, held at the U.S. Naval Academy in Annapolis in June 1988. The audience consisted of low-dimensional topologists and operator algebraists, so the speaker attempted to make the material comprehensible to both groups. He provides an extensive introduction to the theory of von Neumann algebras and to knot theory and braid groups.The presentation follows the historical development of the theory of subfactors and the ensuing applications to knot theory, including full proofs of some of the major results. The author treats in detail the Homfly and Kauffman polynomials, introduces statistical mechanical methods on knot diagrams, and attempts an analogy with conformal field theory. Written by one of the foremost mathematicians of the day, this book will give readers an appreciation of the unexpected interconnections between different parts of mathematics and physics.

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Contenuti

von Neumann algebras; Group actions and subfactors; Values of the index, Virasoro algebra; Construction of examples, further structure; The braid group and its representations; Knots and links; The knot polynomial VL; Knots and statistical mechanics; The algebraic approach.

Product Description

Book by Vaughan F R Jones

Dettagli dell'edizione

• Editore: Amer Mathematical Society
• Data di pubblicazione: 1991
• Lingua: Inglese
• ISBN 10: 0821807293
• ISBN 13: 9780821807293
• Rilegatura: Copertina flessibile
• Numero di pagine: 124
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile